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Simplifying 8x + -0.1 = 3x + 0.9 Reorder the terms: -0.1 + 8x = 3x + 0.9 Reorder the terms: -0.1 + 8x = 0.9 + 3x Solving -0.1 + 8x = 0.9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -0.1 + 8x + -3x = 0.9 + 3x + -3x Combine like terms: 8x + -3x = 5x -0.1 + 5x = 0.9 + 3x + -3x Combine like terms: 3x + -3x = 0 -0.1 + 5x = 0.9 + 0 -0.1 + 5x = 0.9 Add '0.1' to each side of the equation. -0.1 + 0.1 + 5x = 0.9 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 5x = 0.9 + 0.1 5x = 0.9 + 0.1 Combine like terms: 0.9 + 0.1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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